Analytically solvable model for the entanglement via scattering-like mechanisms
Dajka, J.; Mierzejewski, M.; Łuczka, J.
2009-07-16 00:00:00
We study entanglement in a composite system built out of two interacting subsystems. The long-time entanglement is shown to be quantified in terms of the S-matrix of an auxiliary single-particle scattering process. We present exact results for a system consisting of a qubit and an oscillator as well as for the case of a pair of qubits and a single oscillator. We show that entanglement can precisely be controlled by tuning the parameters of the corresponding scattering process. Within tailored parameter regimes, the extremal entanglement is achieved when time of scattering is of order of the oscillator frequency inverse.
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Abstract

We study entanglement in a composite system built out of two interacting subsystems. The long-time entanglement is shown to be quantified in terms of the S-matrix of an auxiliary single-particle scattering process. We present exact results for a system consisting of a qubit and an oscillator as well as for the case of a pair of qubits and a single oscillator. We show that entanglement can precisely be controlled by tuning the parameters of the corresponding scattering process. Within tailored parameter regimes, the extremal entanglement is achieved when time of scattering is of order of the oscillator frequency inverse.